Question

For what value of k is the polynomial 2x 4 + 3x 3 +2kx 2 + 2x – 3 is exactly divisible by (x + 2)​

Answer 1

Answer:

k=-⅛

Step-by-step explanation:

2x⁴+3x³+2kx²+2x-3 is divided by x+2

Let p(x)=2x⁴+3x³+2kx²+2x-3,

So, p(-2)=0

2×(-2)⁴+3×(-2)³+2×k×(-2)²+2×(-2)-3=0

→32-24-6-3-8k=0

→-8k=1

→k=-⅛

Hope it helps you...

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